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math.CA2021★ 1 cited
Regularized Brascamp--Lieb inequalities
Neal Bez, Shohei Nakamura
Given any (forward) Brascamp--Lieb inequality on euclidean space, a famous theorem of Lieb guarantees that gaussian near-maximizers always exist. Recently, Barthe and Wolff used ma…
math.CA2020★ 2 cited
Tomography bounds for the Fourier extension operator and applications
Jonathan Bennett, Shohei Nakamura
We explore the extent to which the Fourier transform of an density supported on the sphere in can have large mass on affine subspaces, placing particular empha…